scholarly journals Existence theory for perturbed impulsive hyperbolic differential inclusions with variable times

2007 ◽  
Vol 327 (2) ◽  
pp. 1116-1129 ◽  
Author(s):  
Abdelkader Belarbi ◽  
Mouffak Benchohra
Keyword(s):  
Differential Inclusions ◽  
Existence Theory ◽  
Hyperbolic Differential Inclusions

scholarly journals Fractional order differential inclusions on an unbounded domain with infinite delay

Mathematica ◽  
2020 ◽  
Vol 62 (85) (2) ◽  
pp. 167-178
Author(s):  
Mohamed Helal
Keyword(s):  
Fractional Order ◽  
Initial Value Problems ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Fréchet Spaces ◽  
Initial Value ◽  
Nonlinear Alternative ◽  
Hyperbolic Differential Inclusions

We provide sufficient conditions for the existence of solutions to initial value problems, for partial hyperbolic differential inclusions of fractional order involving Caputo fractional derivative with infinite delay by applying the nonlinear alternative of Frigon type for multivalued admissible contraction in Frechet spaces.

APPROXIMATION OF HYPERBOLIC DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER WITH IMPULSES

2018 ◽  
pp. 738-744
Author(s):  
Victor Victorovich Skomorokhov
Keyword(s):  
Approximate Solution ◽  
Differential Inclusion ◽  
Fractional Order ◽  
Differential Inclusions ◽  
External Disturbance ◽  
Asymptotic Properties ◽  
Hyperbolic Differential Inclusion ◽  
Hyperbolic Differential Inclusions

In this paper there are considered hyperbolic differential inclusions of fractional order with impulses. Here we represent the concept of approximate solution (δ-solution) for a hyperbolic differential inclusion of fractional order with impulses. The asymptotic properties of solutions sets to approximating differential inclusions of fractional order with external disturbance are derived.

scholarly journals Impulsive partial hyperbolic differential inclusions of fractional order

2010 ◽  
Vol 43 (4) ◽  
Author(s):  
Saïd Abbas ◽  
Mouffak Benchohra
Keyword(s):  
Fixed Point ◽  
Fractional Derivative ◽  
Fractional Order ◽  
Caputo Fractional Derivative ◽  
Differential Inclusions ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Hyperbolic Differential Inclusions

AbstractIn this paper we investigate the existence of solutions of a class of partial impulsive hyperbolic differential inclusions involving the Caputo fractional derivative. Our main tools are appropriate fixed point theorems from multivalued analysis.

scholarly journals A study of a more general class of nonlocal integro-multipoint boundary-value problems of fractional integro-differential inclusions

2021 ◽  
Vol 73 (6) ◽  
pp. 763-799
Author(s):  
B. Ahmad ◽  
S. K. Ntouyas ◽  
A. Alsaedi
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
General Class ◽  
Differential Inclusions ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Existence Theory ◽  
Multivalued Maps ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problems

UDC 517.9We develop the existence theory for a more general class of nonlocal integro-multipoint boundary value problems ofCaputo type fractional integro-differential inclusions. Our results include the convex and non-convex cases for the givenproblem and rely on standard fixed point theorems for multivalued maps. The obtained results are illustrated with the aidof examples. The paper concludes with some interesting observations.

scholarly journals The averaging of fuzzy hyperbolic differential inclusions

2017 ◽  
Vol 22 (5) ◽  
pp. 1987-1998 ◽  
Author(s):  
Andrej V. Plotnikov ◽  
◽  
Tatyana A. Komleva ◽  
Liliya I. Plotnikova ◽  
Keyword(s):  
Differential Inclusions ◽  
Hyperbolic Differential Inclusions
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